How do you solve the inequality 7+14x<21 or 8x>12?

Nov 20, 2017

$x < 1$ or $x > \frac{3}{2}$

Explanation:

We will start by solving the first inequality, then the second, and comparing our answers to get a range for x.

$7 + 14 x < 21$
$1 + 2 x < 3$
$2 x < 2$
$x < 1$

And the second:

$8 x > 12$
$x > \frac{12}{8}$
$x > \frac{3}{2}$

Comparing these:

$x < 1$ or $x > \frac{3}{2}$

See below the inequalities on a graph:

The shaded part is the part of the graph which satisfies x.